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Christoph Haederli - Les thèses en ligne de l'INP - Institut National ...

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NP Control with Optimal Sequ<strong>en</strong>ce SVM 135<br />

curr<strong>en</strong>t is obviously very large (compare with last column of TABLE 23). A full set of graphs for<br />

differ<strong>en</strong>t load angles and modulation schemes is giv<strong>en</strong> in app<strong>en</strong>dix 9.5.3.<br />

m<br />

θ<br />

m<br />

θ<br />

(a)<br />

(b)<br />

Figure 95, (a) Maximum and (b) minimum NP curr<strong>en</strong>ts in function of modulation <strong>de</strong>pth and voltage<br />

angle θ in pure reactive power operation<br />

6.1.5.2 Average minimum and maximum NP curr<strong>en</strong>ts<br />

The average minimum and maximum NP curr<strong>en</strong>ts over the fundam<strong>en</strong>tal period are a measure<br />

for the NP control capacity. For low modulation <strong>de</strong>pth, virtual vector sequ<strong>en</strong>ces are available for<br />

several phases. As a result, the NP curr<strong>en</strong>t control capacity can be increased to 50% (of the peak<br />

phase curr<strong>en</strong>t) for all load angles at low modulation <strong>de</strong>pths down to zero. For high modulation<br />

<strong>de</strong>pth, virtual vector sequ<strong>en</strong>ces are available for one phase only and the effectiv<strong>en</strong>ess is <strong>de</strong>p<strong>en</strong>ding<br />

on the load angle. Nevertheless, there is a significant impact on the NP curr<strong>en</strong>t control capacity in<br />

both reactive and active power operation, as can be se<strong>en</strong> from Figure 96. Notably in the over<br />

modulation region, the modified and virtual vector scheme still provi<strong>de</strong>s effective NP control<br />

capacity. Note that for zero load angle, the unconstrained DC CM injection performs the same as<br />

the real time NP curr<strong>en</strong>t scheme; the gre<strong>en</strong> curve is not visible in the graph as it coinci<strong>de</strong>s with the<br />

blue curve. Note that the red lines in Figure 96 (b) for minium and maximum average NP curr<strong>en</strong>ts<br />

over a fundam<strong>en</strong>tal period correspond with an averaging of the functions in Figure 95 over θ.<br />

(a)<br />

(b)<br />

Figure 96, minimum and maximum average NP curr<strong>en</strong>ts in function of load angle, modulation type<br />

and modulation <strong>de</strong>pth. Red: modified and virtual vector scheme, Blue: real time NP curr<strong>en</strong>t scheme,<br />

Gre<strong>en</strong>: unconstrained DC CM injection scheme. (a) ϕ = 0 (cos(ϕ) = 1), (b) ϕ = 1.56 (cos(ϕ) = 0.01)

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